Schrödinger's Fillomino
(Published on 1. March 2023, 23:40 by Myxo)
Applying popular Sudoku variants to other genres may lead to interesting results. This puzzle should be fairly approachable, but it may require smart use of notation. Enjoy!
Rules:
Normal Fillomino rules apply. Divide the grid into regions, such that no two orthogonally adjacent regions have the same size. Write the size of its region into each cell.
Exactly one cell in every row and column is a Schrödinger cell. Schrödinger cells contain two numbers, and are therefore part of two regions with different sizes.
The corner marks are given digits. Cells with given digits may or may not be Schrödinger cells.
Note: All regions are of size 9 or less. This fact is not needed to solve the puzzle, but should make notation easier.
Schrödinger's Minimino (example puzzle):
Schrödinger's Fillomino (main puzzle):
Solution code: the contents of all Schrödinger cells (top to bottom, lower number first)
Comments
on 17. February 2025, 13:19 by dumediat
Beautiful, satisfying, and more approachable than it looks on the surface. Thank you! :D
on 12. August 2023, 12:02 by Myxo
added example puzzle
on 7. March 2023, 19:41 by PrimeWeasel
Funky!
on 4. March 2023, 17:05 by Christounet
Very cool puzzle ! Adds some new layer to the fillomino logic.
About the solution trigger, I found a way to do a solution trigger in ctc with my last S-cell puzzle : you can just make a solution trigger with the non S-cell digits, leaving the S-cells empty, and that will imply that the solver has entered correctly the S-cells as well. Worked fine with my puzzle.
on 3. March 2023, 13:26 by ddx2407
Nice and smooth. Thank you!
on 2. March 2023, 20:32 by Piatato
Cool puzzle! I was quite surprised by how smoothly it all worked out! :-)
on 2. March 2023, 20:03 by Niverio
Very smooth solve! Enjoyed every bit of it.
on 2. March 2023, 18:56 by chameleon
Beautiful puzzle with smooth solve path and interesting deductions!
on 2. March 2023, 09:08 by Jesper
Very nicely done, enjoyed it!
on 2. March 2023, 05:19 by KNT
Very nice and smooth, thanks
on 2. March 2023, 03:54 by kjholt
I loved this! Wasn't sure what to put in the Schrödinger's cells to make the solution check work since it seems like you did input a solution.
Myxo: Simply put them in as center marks to get the solution check. Only works in penpa, though.
on 2. March 2023, 01:59 by Ambrose
So happy to see this! Very enjoyable and a bit mind twisting!
on 2. March 2023, 00:38 by szabog
Again, an original concept and an enjoyable puzzle. I love your fillomino variants, I hope this will be a long series. Thank you :)
on 1. March 2023, 23:44 by lerroyy
Very nice puzzle, and I really like the symmetrical grid!
on 1. March 2023, 23:42 by wisty
This was a blast to solve! I really enjoyed the opening logic especially, it's fun to hold different possibilities in stasis in my head and seek out what they have in common.
